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Renormalized stress tensor in Kerr space-time: Numerical results for the Hartle-Hawking vacuum

2005/07/27 by Gavin Duffy, Adrian C. Ottewill · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Quantum Electrodynamics and Casimir Effect #gr-qc

paper · pdf · doi:10.1103/physrevd.77.024007

published as Phys.Rev.D77:024007,2008 · 17 pages, 7 figures

arxiv created 2005/07/27 · openalex publication_date 2008/01/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the pathology which afflicts the Hartle-Hawking vacuum on the Kerr black hole space-time can be regarded as due to rigid rotation of the state with the horizon in the sense that, when the region outside the speed-of-light surface is removed by introducing a mirror, there is a state with the defining features of the Hartle-Hawking vacuum. In addition, we show that, when the field is in this state, the expectation value of the energy-momentum stress tensor measured by an observer close to the horizon and rigidly rotating with it corresponds to that of a thermal distribution at the Hawking temperature rigidly rotating with the horizon.

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